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Finding the Fourth Proportional to 10,154.57, 14,009.42 and 6,174.23

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Solution

The fourth proportional to 10,154.57, 14,009.42 and 6,174.23 is: 8,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.57 : 14,009.42 = 6,174.23 : x
  2. Step 2: Convert to fraction form
    10,154.57/14,009.42 = 6,174.23/x
  3. Step 3: Cross multiply
    10,154.57x = 14,009.42 × 6,174.23
  4. Step 4: Simplify right side
    10,154.57x = 86,497,326.64
  5. Step 5: Solve for x
    x = 86,497,326.64/10,154.57
  6. Step 6: Final answer
    x = 8,518.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.